Real-World Investigation 6
Math and Architecture
Use after Lesson 113
The Shapes of Buildings
Many buildings and structures in the United States are shaped like rectangular prisms, or a number of rectangular prisms arranged in some way. However, not all buildings are shaped that way. Some buildings in the U.S. are shaped like other geometric solids.

What To Do
Research the dimensions of two famous
U.S. buildings or monuments that are not rectangular prisms.Some examples of
these buildings include:
     • Capitol Records in Los Angeles, CA
     • Transamerica Building in
       San Francisco, CA
     • Georgia Super Dome in Atlanta, GA
     • Tacoma Museum of Glass in 
       Tacoma, WA
     • Washington Monument in
       Washington D.C.

Search Engine Keywords 
Capitol Records in Los Angeles, CA
Transamerica Building in San Francisco, CA
Georgia Super Dome in Atlanta, GA
Tacoma Museum of Glass in Tacoma, WA
Washington Monument in Washington D.C.
mathematics in architecture

Materials 
calculator

Complete the Activity
Write a short description of the mathematics in the architecture of the buildings you researched, including the building’s dimensions. Then estimate the volume and the surface area of the buildings. For your estimates, you will need to make some assumptions. For example, assume that the dome of a State Capitol building is a sphere or half-sphere.

Share Your Work 
Share your findings with your classmates. Include pictures or drawings of the buildings you chose. You might instead consider making a scale model of a building for display.

Saxon Math Course 2
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